College Algebra - Week 10
Homework
Check each answer individually. Use the hint if you get stuck, then ask the tutor.
Problem 1 · easy
Simplify: sqrt(49)
Problem 2 · easy
Simplify: cube-root(125)
Problem 3 · easy
Write in radical form: 16^(1/4)
Problem 4 · easy
Write in radical form: 27^(2/3)
Problem 5 · easy
Simplify: sqrt(48)
Problem 6 · easy
Simplify: sqrt(75)
Problem 7 · medium
Simplify: sqrt(18x^5)
Problem 8 · easy
Add: 3*sqrt(5) + 7*sqrt(5)
Problem 9 · medium
Simplify: 2*sqrt(8) + 3*sqrt(2)
Problem 10 · medium
Simplify: sqrt(50) - 2*sqrt(18)
Problem 11 · easy
Multiply: sqrt(3) * sqrt(15)
Problem 12 · medium
Multiply: sqrt(5)(sqrt(10) - sqrt(5))
Problem 13 · medium
Multiply: (sqrt(3) + 2)(sqrt(3) - 2)
Problem 14 · easy
Rationalize: 6/sqrt(3)
Problem 15 · medium
Rationalize: 5/(sqrt(7) - 2)
Problem 16 · medium
Rationalize: 3/(4 + sqrt(5))
Problem 17 · easy
Solve: sqrt(x) = 7
Problem 18 · easy
Solve: sqrt(2x + 1) = 5
Problem 19 · challenge
Solve: sqrt(x - 3) = x - 9
Problem 20 · medium
Solve: cube-root(x + 4) = 3
Problem 21 · medium
Simplify: x^(3/4) * x^(1/4)
Problem 22 · easy
Simplify: (x^(1/2))^4
Problem 23 · medium
Simplify: sqrt(12x^2y^4)
Problem 24 · challenge
Solve: sqrt(3x + 1) - 1 = x
Problem 25 · challenge
Simplify: (27x^6)^(2/3)